9(x - 3 1/2) * (4/7) = 0

First, simplify 3 1/2 to an improper fraction:
3 1/2 = 7/2

Now, multiply the fractions:
9(x - 7/2) * (4/7) = 0

Distribute the 9 and 4/7:
36/7 x - 63/2 4/7 = 0
36/7 x - 63/2 4/7 = 0

Simplify:
36/7 * x - 36/7 = 0

Add 36/7 to both sides:
36/7 * x = 36/7

Divide by 36/7 on both sides to solve for x:
x = 1

Therefore, the solution to the equation is x = 1.